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Simplifying -8v + -6 = 3(v + 9) Reorder the terms: -6 + -8v = 3(v + 9) Reorder the terms: -6 + -8v = 3(9 + v) -6 + -8v = (9 * 3 + v * 3) -6 + -8v = (27 + 3v) Solving -6 + -8v = 27 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -6 + -8v + -3v = 27 + 3v + -3v Combine like terms: -8v + -3v = -11v -6 + -11v = 27 + 3v + -3v Combine like terms: 3v + -3v = 0 -6 + -11v = 27 + 0 -6 + -11v = 27 Add '6' to each side of the equation. -6 + 6 + -11v = 27 + 6 Combine like terms: -6 + 6 = 0 0 + -11v = 27 + 6 -11v = 27 + 6 Combine like terms: 27 + 6 = 33 -11v = 33 Divide each side by '-11'. v = -3 Simplifying v = -3
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